10011200012100 has 432 divisors, whose sum is σ = 36862761132288. Its totient is φ = 2224545223680.

The previous prime is 10011200011979. The next prime is 10011200012117. The reversal of 10011200012100 is 121000211001.

It is a happy number.

It is a super-3 number, since 3×10011200012100³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 285063742 + ... + 285098858.

It is an arithmetic number, because the mean of its divisors is an integer number (85330465584).

Almost surely, 2^{10011200012100} is an apocalyptic number.

10011200012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011200012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18431380566144).

10011200012100 is an abundant number, since it is smaller than the sum of its proper divisors (26851561120188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10011200012100 is a wasteful number, since it uses less digits than its factorization.

10011200012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36404 (or 36394 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10011200012100 its reverse (121000211001), we get a palindrome (10132200223101).

The spelling of 10011200012100 in words is "ten trillion, eleven billion, two hundred million, twelve thousand, one hundred".